Math Problem Statement

Constructed Response Question Jessica solved the expression (-5.25)+(-2)+3/2

and determined its value to be 1.

Do you agree with Jessica’s conclusion? Justify your answer.

Solution

Let's solve the expression step-by-step and see if Jessica's conclusion is correct:

The given expression is:
(5.25)+(2)+32(-5.25) + (-2) + \frac{3}{2}

Step 1: Add (5.25)(-5.25) and (2)(-2)

(5.25)+(2)=5.252=7.25(-5.25) + (-2) = -5.25 - 2 = -7.25

Step 2: Add 32\frac{3}{2} (which is 1.5) to 7.25-7.25

7.25+1.5=7.25+1.5=5.75-7.25 + 1.5 = -7.25 + 1.5 = -5.75

Conclusion:

The result of the expression is 5.75-5.75, not 1.

Thus, I do not agree with Jessica's conclusion. She likely made an error in her calculations. The correct value of the expression is 5.75-5.75.


Would you like more details or have any questions?
Here are 5 related questions to consider:

  1. What are common mistakes in adding positive and negative numbers?
  2. How do you convert fractions into decimal form?
  3. Why is order of operations important in solving expressions?
  4. What strategies can help avoid errors in arithmetic calculations?
  5. How do you handle negative numbers when solving equations?

Tip: When working with multiple operations in an expression, be mindful of signs (positive and negative) and fractions to avoid simple arithmetic errors.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Operations with Fractions
Negative Numbers

Formulas

Addition of negative numbers: a + (-b) = a - b
Converting fractions to decimals: 3/2 = 1.5

Theorems

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Suitable Grade Level

Grades 6-8